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3805378744644 = 223243275612
BaseRepresentation
bin110111011000000010001…
…111111001000101000100
3111110210100101110112222100
4313120002033321011010
5444321403424312034
612032100013032100
7541633555430301
oct67300217710504
914423311415870
103805378744644
111237941105984
12515611785630
13217acbc46ac9
14d22777500a8
1568ebed53099
hex376023f9144

3805378744644 has 81 divisors (see below), whose sum is σ = 9849358038429. Its totient is φ = 1238796659520.

The previous prime is 3805378744613. The next prime is 3805378744669. The reversal of 3805378744644 is 4464478735083.

The square root of 3805378744644 is 1950738.

It is a perfect power (a square), and thus also a powerful number.

3805378744644 is a `hidden beast` number, since 3 + 80 + 5 + 3 + 78 + 7 + 446 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 905850904644 + 2899527840000 = 951762^2 + 1702800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 503286624 + ... + 503294184.

Almost surely, 23805378744644 is an apocalyptic number.

3805378744644 is the 1950738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3805378744644

3805378744644 is an abundant number, since it is smaller than the sum of its proper divisors (6043979293785).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3805378744644 is an frugal number, since it uses more digits than its factorization.

3805378744644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15218 (or 7609 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 3805378744644 in words is "three trillion, eight hundred five billion, three hundred seventy-eight million, seven hundred forty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1849 3698 5547 7396 7561 11094 15122 16641 22188 22683 30244 33282 45366 66564 68049 90732 136098 272196 325123 650246 975369 1300492 1950738 2926107 3901476 5852214 11704428 13980289 27960578 41940867 55921156 57168721 83881734 114337442 125822601 167763468 171506163 228674884 251645202 343012326 503290404 514518489 686024652 1029036978 2058073956 2458255003 4916510006 7374765009 9833020012 14749530018 22124295027 29499060036 44248590054 88497180108 105704965129 211409930258 317114895387 422819860516 634229790774 951344686161 1268459581548 1902689372322 3805378744644